20757004800 has 960 divisors, whose sum is σ = 84172898304. Its totient is φ = 4408934400.

The previous prime is 20757004783. The next prime is 20757004837. The reversal of 20757004800 is 840075702.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 391641574 + ... + 391641626.

Almost surely, 2^20757004800 is an apocalyptic number.

20757004800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20757004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42086449152).

20757004800 is an abundant number, since it is smaller than the sum of its proper divisors (63415893504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20757004800 is a wasteful number, since it uses less digits than its factorization.

20757004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The spelling of 20757004800 in words is "twenty billion, seven hundred fifty-seven million, four thousand, eight hundred".